Vector combined cnoidal wave and soliton solutions for a 3D partially nonlocal CNLSE

• Published in: Results in physics Vol. 52; p. 106758
• Main Authors: Zhu, Yu, Yang, Jing, Qin, Wei, Wang, Shaohui, Li, Jitao
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 01.09.2023; Elsevier
• Subjects: Coupled nonlinear Schrödinger equation; Partially nonlocal nonlinearity; Vector combined solutions of cnoidal wave and soliton; Vector combined solutions of cnoidal wave and soliton; Partially nonlocal nonlinearity; Coupled nonlinear Schrödinger equation
• ISSN: 2211-3797; 2211-3797
• DOI: 10.1016/j.rinp.2023.106758

A 3D distributed-coefficient coupled nonlinear Schrödinger equation(CNLSE) with the partially nonlocal nonlinearity(PNN) for locality in two transverse directions and non-locality in the longitudinal direction becomes the center of attention in this paper. A one-to-one corresponding expression from the distributed-coefficient CNLSE with the PNN to the constant-coefficient CNLSE is confirmed. By way of the Darboux transformation, combined vector solutions of cnoidal wave and soliton with different structures for double components are found. Evolutional behaviors of dark-bright soliton pair, dark-bright soliton pair traveling parallelly along the top of cnoidal wave, and soliton break-up are revealed when parameters of solutions are selected as different values. •A one-to-one corresponding expression from the vcCNLSE into the constant-coefficient one is confirmed.•Via the Darboux transformation, combined vector solutions of cnoidal wave and soliton for double components are found.•Evolutional behaviors of vector combined solutions with different soliton structures are unfolded.